This paper is devoted to the qualitative study of
disconjugate random linear Hamiltonian systems. We relate the
principal solutions at $\pm\infty$ with the ergodic structure
of the flow, the presence of exponential dichotomy, and the
description of the Sacker-Sell spectrum. A continuity theorem
for the principal solutions is also provided.
@article{1258138152,
author = {Johnson, Russell and Novo, Sylvia and Obaya, Rafael},
title = {An ergodic and topological approach to disconjugate linear Hamiltonian systems},
journal = {Illinois J. Math.},
volume = {45},
number = {4},
year = {2001},
pages = { 803-822},
language = {en},
url = {http://dml.mathdoc.fr/item/1258138152}
}
Johnson, Russell; Novo, Sylvia; Obaya, Rafael. An ergodic and topological approach to disconjugate linear Hamiltonian systems. Illinois J. Math., Tome 45 (2001) no. 4, pp. 803-822. http://gdmltest.u-ga.fr/item/1258138152/